Respuesta :

imlittlestar

Answer:

9.63 square units

Step-by-step explanation:

It is given that, a square has a side that measures 2.75 units.

To find the perimeter of square

Perimeter = 4 * side

 = 4 * 2.75

 = 11 units

To find the radius of circle with circumference 11 units

Circumference = 2πr

2πr = 11

r = 11/2π

To find the area of circle

Area of circle = πr²

= π(11/2π)²

= (π * 11 * 11/4π²)

= 121/4π

= 121/(4 * 3.14)

= 9.63 square units

 

JeanaShupp

Answer: 9.62 square units

Step-by-step explanation:

Given : The side of square =  2.75 units.

Then the perimeter of the square will be :-

[tex]\text{4(side)}=4(2.75)=11\ \text{ units[/tex]

Now, let the circumference of the circle be :_

[tex]C=11[/tex]

Also, the circumference of circle is given by :-

[tex]C=2\pi r\\\\\Rightarrpw\ 11=2\pi r\\\\\Rightarrow\ r=\dfrac1}{2\pi}=\dfrac{11}{2(3.14)}\approx1.75[/tex]

Area of circle :

[tex]A=\pi r^2\\\\\Rightarrow\ A=(3.14)(1.75)^2=9.61625\approx9.62\text{ square units}[/tex]

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